Mean-field limits and propagation of chaos for interacting particle systems with singular interaction forces have recently seen major advances, driven by new quantitative stability techniques beyond the classical Lipschitz regime. This talk surveys a work-centered line of developments based on relative entropy, modulated energy / modulated free energy, and duality methods, highlighting how they deliver explicit quantitative control for singular kernels. I will then present our recent progress on particle approximations of the Landau equation, non-exchangeable particle systems, and selected links to PDE numerical algorithms. The talk concludes with several open problems and future directions.